Pith Number

pith:2MZFGDOX

pith:2018:2MZFGDOXRHZPQNBCDMFK62UG56

not attested not anchored not stored refs pending

Optimal spectral approximation of $2n$-order differential operators by mixed isogeometric analysis

Quanling Deng, Victor Calo, Vladimir Puzyrev

arxiv:1806.04286 v1 · 2018-06-12 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MZFGDOXRHZPQNBCDMFK62UG56}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:35.971481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d332530dd789f2f834221b0aaf6a86ef9183b8e5d85c2658d9fb674d21723f3b

Aliases

arxiv: 1806.04286 · arxiv_version: 1806.04286v1 · doi: 10.48550/arxiv.1806.04286 · pith_short_12: 2MZFGDOXRHZP · pith_short_16: 2MZFGDOXRHZPQNBC · pith_short_8: 2MZFGDOX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2MZFGDOXRHZPQNBCDMFK62UG56 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d332530dd789f2f834221b0aaf6a86ef9183b8e5d85c2658d9fb674d21723f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a20685269328b134bbe7b982d5871a590e7773b0b930cc3552654f9d18d2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-12T01:13:58Z",
    "title_canon_sha256": "fd6665a3063241cb23704ed337677aaa3e1943015afc1dfac7597e69ef038dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04286",
    "kind": "arxiv",
    "version": 1
  }
}